【摘要】：針對傳感器數目小于源信號數目的欠定情形,研究了基于壓縮感知(CS)的欠定盲源分離(UBSS)問題。從欠定盲源分離和壓縮感知的數學模型入手,在源信號具有稀疏性的前提下,將其轉化為CS理論中的稀疏信號重構問題。在Sparco框架下建立了CS-UBSS兩步法算法通用模型,并理論證明了該模型的有限等距特性(RIP)。仿真結果說明了該算法模型針對語音信號和圖像信號的可行性與適用性,拓寬了UBSS問題的解決思路,尤其是CS理論中性能優越的重構算法可以直接應用于源信號的恢復。
[Abstract]:In the case that the number of sensors is less than the number of source signals, the problem of blind source separation (UBSS) based on compressed sensing (CS) is studied. Based on the mathematical model of under-determined blind source separation and compression sensing, the sparse signal reconstruction problem in CS theory is transformed under the premise that the source signal is sparse. In this paper, a general model of CS-UBSS two-step algorithm is established under the framework of Sparco, and the finite isometric characteristic (RIP). Of the model is proved theoretically. The simulation results show the feasibility and applicability of this algorithm model for speech signal and image signal, and widen the idea of solving UBSS problem. Especially, the reconstruction algorithm with superior performance in CS theory can be directly applied to the restoration of source signal.
【作者單位】： 景德鎮陶瓷大學信息工程學院;
【基金】：國家自然科學基金(51377132)
【分類號】：TN911.7
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本文編號：2446782